Lemma 12.4 ([1]}) 
Let \(v,u\)  be two vertices in \(T={T_{\rm SAW}}(w)\) , while suppose \(v\notin \Gamma \)  and \(u\)  is a child of \(v\) . Then we have
\(\nonumber {{\mathcal {I}}}^{\Lambda ,\tau }_{T}(v,u) &=\left\lbrace \begin{array}{lcl}h(\log {R}^{\Lambda ,\tau }_u) &\quad & \textrm {if u\notin \Gamma } \\0 &\quad & \textrm {otherwise}. \\\end{array}\right.\) 

